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arXiv:math/0503163 [math.GT]AbstractReferencesReviewsResources

The rank of the fundamental group of certain hyperbolic 3-manifolds fibering over the circle

Juan Souto

Published 2005-03-08, updated 2009-04-12Version 2

We determine the rank of the fundamental group of those hyperbolic 3-manifolds fibering over the circle whose monodromy is a sufficiently high power of a pseudo-Anosov map. Moreover, we show that any two generating sets with minimal cardinality are Nielsen equivalent.

Comments: This is the version published by Geometry & Topology Monographs on 29 April 2008
Journal: Geom. Topol. Monogr. 14 (2008) 505-518
Categories: math.GT
Subjects: 57M50, 57M07
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